A simplified basis for Bell-Kochen-Specker theorems

作者：Malley James D^*; Fine Arthur

来源：Physics Letters, Section A: General, Atomic and Solid State Physics , 2014, 378(35): 2611-2613.

DOI：10.1016/j.physleta.2014.07.022

• Hidden variables
• No-go
• Bell-Kochen-Specker theorem

We show that a reduced form of the structural requirements for deterministic hidden variables used in Bell-Kochen-Specker theorems is already sufficient for the no-go results. Those requirements are captured by the following principle: an observable takes a spectral value x if and only if the spectral projector associated with x takes the value 1. We show that the "only if" part of this condition suffices. The proof identifies an important structural feature behind the no-go results; namely, if at least one projector is assigned the value 1 in any resolution of the identity, then at most one is. Published by Elsevier B.V.

• 出版日期2014-7-11
• 单位NIH